. . . PENNIES for the AGES . . . - PowerPoint PPT Presentation

. . . PENNIES for the AGES . . . . Push the “Sample More Data” button on the screen and read the average age of a sample of 49 pennies taken from the jar. Note the horizontal and vertical scales on the grid here and then record that (rounded) average age using a properly scaled X . .

Copyright Complaint Adult Content Flag as Inappropriate

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

Experimental probability: Determination of numerical probability through the use of existing data or simulation of a real or imagined event.

Theoretical probability: Examine what could happen; use counting techniques, models, geometrical representations, and other mathematical calculations and techniques to determine all things that could happen in an experiment.

Express probabilities by comparing outcomes that meet specific requirements to all possible outcomes of an experiment.

mutually exclusive events: two events that share no outcomes. If events C and D are mutually exclusive, then

P(C or D) = P(C) + P(D)

If two events are not mutually exclusive, then

P(C or D) = P(C) + P(D) − P(C and D).

independent events: two events whose outcomes have no influence on each other. If E and F are independent events, then

P(E and F) = P(E) * P(F)

MAT 312

conditional probability: the determination of the probability of an event taking into account that some condition may affect the outcomes to be considered. The symbol P(A|B) represents the conditional probability of event A given that event B has occurred. Conditional probability is calculated as

P(A|B) = P(A and B)/P(B)

geometrical probability: the determination of probability based on the use of a 1-, 2-, or 3-dimensional geometric model.

Geometrical probability refers to the use of geometrical representations and calculations to determine the probabilities of outcomes. The outcomes must be represented directly or indirectly through 1-, 2-, or 3-dimensional geometrical shapes.

If I give you a 5-inch piece of string and ask you to make one cut in the string at some random point along its length, what is the probability one of the resulting pieces will be less than 1 inch long?

Suppose we throw a dart at the board shown here. If we know the dart hits somewhere on the 18-inch square board, and that the dart has hit the board at random, what is the probability of a bull's eye? That is, what's the probability that a point chosen at random on the board is within the smallest circle?